In a law firm, 72% of the employees are associates and 54%

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Sat Apr 13, 2019 9:09 pm

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In a law firm, 72% of the employees are associates and 54% of the employees are senior associates. What percent of the associates in the firm are junior associates?

A. 18%
B. 25%
C. 50%
D. 54%
E. 75%

OA B

Source: e-GMAT

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Source: Beat The GMAT — Problem Solving | Sat Apr 13, 2019 9:09 pm

GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Sun Apr 14, 2019 2:10 am

BTGmoderatorDC wrote:In a law firm, 72% of the employees are associates and 54% of the employees are senior associates. What percent of the associates in the firm are junior associates?

A. 18%
B. 25%
C. 50%
D. 54%
E. 75%

Let the total number of employees = 100, implying that the total number of associates = 72% of 100 = 72 and that the number of senior associates = 54% of 100 = 54.

The prompt should make clear that every associate is either a junior associate or senior associate, yielding the following equation:
Junior associates = (total associates) - (senior associates) = 72 - 54 = 18.
Resulting percentage:
(junior associates)/(all associates) = 18/72 = 1/4 = 25%.

The correct answer is B.

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8151; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Fri Apr 19, 2019 9:13 am

BTGmoderatorDC wrote:In a law firm, 72% of the employees are associates and 54% of the employees are senior associates. What percent of the associates in the firm are junior associates?

A. 18%
B. 25%
C. 50%
D. 54%
E. 75%

OA B

Source: e-GMAT

If there are 100 employees, then 72 are associates and 54 are senior associates. Thus 72 - 54 = 18 are junior associates. Thus, 18/72 = 1/4 = 25% of the associates are junior associates.

Answer: B

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